A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space

Details A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space

2010-11-06

arxiv.org/abs/1011.1544v1

Mathematics

Differential Geometry

17 pages. This paper consits of the contents of sect. 2 & 3 in the ver. 1 & 2 of "The intrinsic duality of wave fronts" (arXiv

Scientific paper

In a previous work, the authors gave a definition of `front bundles'. Using
this, we give a realization theorem for wave fronts in space forms, like as in
the fundamental theorem of surface theory. As an application, we investigate
the behavior of principal singular curvatures along A_2-singularities of
hypersurfaces with non-negative sectional curvature in Euclidean space.

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